Answer:
(x, y) = (- 2, 5)
Step-by-step explanation:
given the 2 equations
3y = 11 - 2x → (1)
3x = y - 11 → (2)
Rearrange (2) expressing y in terms of x
add 11 to both sides
y = 3x + 11 → (3)
Substitute y = 3x + 11 into (1)
3(3x + 11) = 11 - 2x
9x + 33 = 11 - 2x ( add 2x to both sides )
11x + 33 = 11 ( subtract 33 from both sides )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 in (3) for corresponding value of y
y = (3 × - 2) + 11 = - 6 + 11 = 5
As a check
substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.
(1) : left side = (3 × 5) = 15
right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right
(2) : left side = (3 × - 2 ) = - 6
right side = 5 - 11 = - 6 ⇒ left = right
solution = (- 2, 5 )
Answer:
18%
Step-by-step explanation:
0.12 is 12 percent.
We also have the 0.06 percent which would just be 6 percent
We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.
Our final answer is D.
Answer:
x will have to be 45 to make this true
Step-by-step explanation:
Since A (3,4) A’(9,12)
You can see 3*3=9
Therefor it was enlarged by 3times
Scale factor of 3
The maximum volume would be when the bottom of the box is a square.
The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.
Then to find volume multiply the length by the width by the height:
Volume = 9 x 9 x 4 = 324 cm^3
The answer would be a.
